# The length of a rectangle is 1 m more than twice its width. What is the length of the rectangle if its perimeter is 110 m?

Jun 19, 2018

$\frac{111}{3} \setminus \text{m}$

#### Explanation:

• Length = ℓ
• Width$= w$

According to question

ℓ = 2w + 1

w = (ℓ - 1)/2

Perimeter= 2(ℓ + w)

"110 m" = 2(ℓ + (ℓ - 1)/2)

"110 m" = (cancel(2)(2 ℓ + ℓ - 1))/cancel(2)

"110 m" = 3 ℓ - 1

"111 m" = 3 ℓ

ℓ = 111/3\ "m"